1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga_2 [115]
3 years ago
12

Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina

tes of its other two vertices?
Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}

L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}

L=\sqrt{9^2}=9 units

Perimeter of rectangle is =26 units

Let the other side be x

thus

2\left ( x+9\right )=26

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two  distance between two points must be 13 units

You might be interested in
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
3 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
2 years ago
At what elevation does the atomosphere become too thin to breath
prohojiy [21]
At around 20'000ft. and higher.
4 0
3 years ago
The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999.
Solnce55 [7]

Answer:

As traffic volume increases, vehicle speed increases.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A serving of filet mignon is generally considered to be about 1/4
dybincka [34]
If 1 serving = 1/4 pound, then 4 servings = 1 pound. 6 pounds *4=24 servings. That leaves 1/3 of a pound. 1/4 pound is less than 1/3 pound, so you get one more serving.

That makes 25 servings, and 1/12 of a pound left over.

How do you know it is 1/12? Well, LCD (lowest common denominator) shows that 1/3-1/4= 4/12-3/12=1/12.
3 0
3 years ago
Other questions:
  • Can someone help me please !
    15·1 answer
  • Plz helpppp fast plzzzzz Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + ..
    11·1 answer
  • Solve each inequality <br><br> 3(x+6)-2(x+2)&gt;10<br> _
    10·1 answer
  • What is the vertex of the graph of f(x) = x2 + 10x - 9? A) (-5, -34) B) (-5, -9) C) (5, -9) D) (5, 66)
    12·2 answers
  • Can i get some help with this
    13·1 answer
  • The sum of two binomials <br> Is
    14·2 answers
  • PLEEEAAASEEEEE HHEEELPPPP MMEEEEEE
    6·2 answers
  • What is the y-intercept of this equation?<br> y= 2/9x +13
    7·2 answers
  • Can someone give me a quick algebra lesson and solve this example for me?
    12·2 answers
  • Referring to the figure, find the area of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!